We consider periodic problems driven by the ordinary scalar
$p$-Laplacian with a Caratheodory nonlinearity. Using variational
techniques, coupled with the method of upper and lower solutions,
we obtain two nontrivial solutions, with one positive and the
other negative.
Publié le : 2005-04-14
Classification:
$p$-Laplacian,
positive solution,
Ekeland variational principle,
maximal monotone operator,
Green's identity,
periodic solution,
method of upper and lower solutions,
34B18,
34C25
@article{1117805083,
author = {Hu, Shouchuan and Papageorgiou, Nikolaos S.},
title = {Pairs of solutions of constant sign for nonlinear periodic
equations with unbounded nonlinearity},
journal = {Bull. Belg. Math. Soc. Simon Stevin},
volume = {11},
number = {5},
year = {2005},
pages = { 193-208},
language = {en},
url = {http://dml.mathdoc.fr/item/1117805083}
}
Hu, Shouchuan; Papageorgiou, Nikolaos S. Pairs of solutions of constant sign for nonlinear periodic
equations with unbounded nonlinearity. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2005) no. 5, pp. 193-208. http://gdmltest.u-ga.fr/item/1117805083/